Originally Posted by

**Mathhelpz** **Q-2e **One type of candy costs 60 cents a pound while a second type costs 80 cents a pound. How many pounds of each type must be combined in order to produce 20 pounds of a mixture worth *75 *cents a pound?

I got the answer though,

type 1 =x

type 2 =y

x+y=20

y=20-x

60x+80y=75(x+y)

60x+80y=75x+75y

simplify

5y=15x

sub in y=20-x

5(20-y)=15x

100-5x=15x

100=20x

x=5

plug 5 into y=20-x

y=15

Could someone help me form a matlab script?

You have the pair of equations:

or in matrix form:

So is we set:

We can write:

Code:

A=[1,1;60,80];
Z=[20;1500]
X=A\Z

or of you prefer:

Code:

A=[1,1;60,80];
Z=[20;1500]
X=inv(A)*Z

CB